Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
MATHEMATICAL FOUNDATIONS PEC117 1. Semester 3 + 0 3.0 5.0

Prerequisites None

Language of Instruction English
Course Level Bachelor's Degree
Course Type Compulsory
Mode of delivery
Course Coordinator
Instructors Türkmen GÖKSEL
Assistants
Goals Developing students’ mathematical reasoning, modeling and analysis abilities as well as providing them with the mathematical tools they will need in their future courses, in their future professional exams, and in their professional life in general.
Course Content Introduction to multivariate calculus; general function models; univariate optimization; exponential and logarithmic functions
Learning Outcomes 1) Methods of Infinitesimal Calculus => Equilibrium and Comparative Static Analysis Skills
2) Unconstrained and Constrained Optimization Methods => Target Equilibrium (Optimum) Analysis Skills
3) Integral Calculus Methods => Dynamic Analysis Skills

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Comparative Static Analysis - Differentials - Total Derivatives Lecture; Question Answer
Brainstorming
 Homework
2. Week Implicit Functions Lecture; Question Answer
Brainstorming
 Homework
3. Week General Function Models Lecture; Question Answer
Brainstorming
 Homework
4. Week Optimum Values and Extreme Values Lecture; Question Answer
Brainstorming
 Homework
5. Week Maclaurin and Taylor Series, Nth Derivative Test Lecture; Question Answer
Brainstorming
 Homework
6. Week Exponential and Logarithmic Functions Lecture; Question Answer
Brainstorming
 Homework
7. Week Derivatives of Exponential and Logarithmic Functions Lecture; Question Answer
Brainstorming
 Homework
8. Week Midterm Question Answer
Brainstorming
Problem Based Learning 		Homework
9. Week More Than One Choice Variable - Optimization Conditions Lecture; Question Answer
Brainstorming
 Homework
10. Week Optimization under Equality Constraints Lecture; Question Answer
Brainstorming
 Homework
11. Week Concavity - Convexity - Utility Maximization Lecture; Question Answer
Brainstorming
 Homework
12. Week Homogenous Functions - Cost Minimization Lecture; Question Answer
Brainstorming
 Homework
13. Week Introduction to Dynamic Analysis – Integrals Lecture; Question Answer
Brainstorming
 Homework
14. Week Applications of Integrals Lecture; Question Answer
Brainstorming
 Homework

Sources Used in This Course
Recommended Sources
CHIANG, Alpha C., (1984-...), “Fundamental Methods of Mathematical Economics”, McGraw-Hill, Literatür, Bilim-Teknik, Adım-Murat, Gazi Publishing

Relations with Education Attainment Program Course Competencies
Program RequirementsContribution LevelDK1DK2DK3
PY15000
PY25000
PY35000
PY45555

*DK = Course's Contrubution.
0 1 2 3 4 5
Level of contribution None Very Low Low Fair High Very High
.

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 3
Work Hour outside Classroom (Preparation, strengthening) 14 2
Homework 14 1
Midterm Exam 1 1
Time to prepare for Midterm Exam 1 20
Final Exam 1 1
Time to prepare for Final Exam 1 40
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
Quick Access Hızlı Erişim Genişlet
Course Information
  • Course Information
  • Weekly Topics (Content)
  • Sources Used in This Course
  • Relations with Education Attainment Program Course Competencies
  • ECTS credits and course workload